Pith Number

pith:GW5QLUYE

pith:2011:GW5QLUYELTD5UCY5KHIBHQPXKC

not attested not anchored not stored refs pending

On the purity of maximal weakly separated set families

Hwanchul Yoo

arxiv:1111.6404 v3 · 2011-11-28 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GW5QLUYELTD5UCY5KHIBHQPXKC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:26:50.784247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35bb05d3045cc7da0b1d51d013c1f750a255627c6cd77504f3fb94900bf1daa8

Aliases

arxiv: 1111.6404 · arxiv_version: 1111.6404v3 · doi: 10.48550/arxiv.1111.6404 · pith_short_12: GW5QLUYELTD5 · pith_short_16: GW5QLUYELTD5UCY5 · pith_short_8: GW5QLUYE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GW5QLUYELTD5UCY5KHIBHQPXKC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 35bb05d3045cc7da0b1d51d013c1f750a255627c6cd77504f3fb94900bf1daa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a2a248dd100c122bc2d385e673833a400c91eb21e35a6fd856dd85d28dd1f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-28T11:06:00Z",
    "title_canon_sha256": "f360e8e881d7a91136b11c090d1334feb2aee2f77548d373333fd8250fe8aab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6404",
    "kind": "arxiv",
    "version": 3
  }
}